6 papers
Langlands branching rule for type B snake modules
Jingmin Guo, Jian-Rong Li, Keyu Wang
We prove that each snake module of the quantum Kac-Moody algebra of type admits a Langlands dual representation, as conjectured by Frenkel and Hernandez (Lett. Math. Ph…
From dual canonical bases to positroidal subdivisions
Jian-Rong Li, Ayush Kumar Tewari
The Grassmannian cluster algebra admits a distinguished basis known as the dual canonical basis, whose elements correspond to rectangular semi-standar…
Cluster structures on spinor helicity and momentum twistor varieties
Lara Bossinger, Jian-Rong Li
We study the homogeneous coordinate rings of partial flag varieties and Grassmannians in their Plücker embeddings and exhibit an embedding of the former into the latter. Both ring…
Verlinde rings and cluster algebras arising from quantum affine algebras
Chul-hee Lee, Jian-Rong Li, Euiyong Park
We formulate a positivity conjecture relating the Verlinde ring associated with an untwisted affine Lie algebra at a positive integer level and a subcategory of finite-dimensional…
A correspondence between additive and monoidal categorifications with application to Grassmannian cluster categories
Karin Baur, Changjian Fu, Jian-rong Li
Building on work of Derksen-Fei and Plamondon, we formulate a conjectural correspondence between additive and monoidal categorifications of cluster algebras, which reveals a new co…
Braid group actions on grassmannians and extended crystals of type
Jian-Rong Li, Euiyong Park
Let be the braid actions on infinite Grassmannian cluster algebras induced from Fraser's braid group actions. Let be the braid group actions on (quantum) Grot…